TSTP Solution File: HEN008-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN008-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:11:55 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 11 unt; 0 def)
% Number of atoms : 18 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f118,plain,
$false,
inference(resolution,[],[f104,f43]) ).
fof(f43,plain,
~ less_equal(divide(divide(a,c),divide(b,c)),zero),
inference(unit_resulting_resolution,[],[f26,f5,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f26,plain,
zero != divide(divide(a,c),divide(b,c)),
inference(unit_resulting_resolution,[],[f9,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f9,axiom,
~ less_equal(divide(a,c),divide(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_divide_c_LE_b_divide_c) ).
fof(f104,plain,
! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),zero),
inference(forward_demodulation,[],[f92,f12]) ).
fof(f12,plain,
! [X0] : zero = divide(zero,X0),
inference(unit_resulting_resolution,[],[f5,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f92,plain,
! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)),
inference(superposition,[],[f4,f13]) ).
fof(f13,plain,
zero = divide(a,b),
inference(unit_resulting_resolution,[],[f8,f1]) ).
fof(f8,axiom,
less_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_LE_b) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN008-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 12:43:19 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (13347)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (13350)WARNING: value z3 for option sas not known
% 0.15/0.37 % (13348)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (13349)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (13351)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (13352)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.37 % (13353)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.37 % (13354)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.37 % (13350)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (13354)First to succeed.
% 0.15/0.38 % (13354)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13347"
% 0.15/0.38 TRYING [4]
% 0.15/0.38 % (13354)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (13354)------------------------------
% 0.15/0.38 % (13354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (13354)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (13354)Memory used [KB]: 844
% 0.15/0.38 % (13354)Time elapsed: 0.006 s
% 0.15/0.38 % (13354)Instructions burned: 6 (million)
% 0.15/0.38 % (13347)Success in time 0.012 s
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